Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040eq |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1708019812167782400 = 212 · 310 · 52 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3889881,2953553625] |
[a1,a2,a3,a4,a6] |
Generators |
[153:48600:1] |
Generators of the group modulo torsion |
j |
13507798771700416/3544416225 |
j-invariant |
L |
2.8041186105484 |
L(r)(E,1)/r! |
Ω |
0.25926688573096 |
Real period |
R |
2.7038919785521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040gh2 23520w1 6720ci2 |
Quadratic twists by: -4 8 -7 |